1.6: Sampling Experiment (Worksheet)

Work in groups on these problems. You should try to answer the questions without referring to your textbook. If you get stuck, try asking another group for help.

Student Learning Outcomes

The student will demonstrate the simple random, systematic, stratified, and cluster sampling techniques.

The student will explain the details of each procedure used.

In this lab, you will be asked to pick several random samples of restaurants. In each case, describe your procedure briefly, including how you might have used the random number generator, and then list the restaurants in the sample you obtained.

Note 1.7.1

The following section contains restaurants stratified by city into columns and grouped horizontally by entree cost (clusters).

Restaurants Stratified by City and Entree Cost

Restaurants Used in Sample

Entree Cost

Under $10

$10 to under $15

$15 to under $20

Over $20

San Jose

El Abuelo Taq, Pasta Mia, Emma’s Express, Bamboo Hut

Emperor’s Guard, Creekside Inn

Agenda, Gervais, Miro’s

Blake’s, Eulipia, Hayes Mansion, Germania

Palo Alto

Senor Taco, Olive Garden, Taxi’s

Ming’s, P.A. Joe’s, Stickney’s

Scott’s Seafood, Poolside Grill, Fish Market

Sundance Mine, Maddalena’s, Spago’s

Los Gatos

Mary’s Patio, Mount Everest, Sweet Pea’s, Andele Taqueria

Lindsey’s, Willow Street

Toll House

Charter House, La Maison Du Cafe

Mountain View

Maharaja, New Ma’s, Thai-Rific, Garden Fresh

Amber Indian, La Fiesta, Fiesta del Mar, Dawit

Austin’s, Shiva’s, Mazeh

Le Petit Bistro

Cupertino

Hobees, Hung Fu, Samrat, Panda Express

Santa Barb. Grill, Mand. Gourmet, Bombay Oven, Kathmandu West

Fontana’s, Blue Pheasant

Hamasushi, Helios

Sunnyvale

Chekijababi, Taj India, Full Throttle, Tia Juana, Lemon Grass

Pacific Fresh, Charley Brown’s, Cafe Cameroon, Faz, Aruba’s

Lion & Compass, The Palace, Beau Sejour

Santa Clara

Rangoli, Armadillo Willy’s, Thai Pepper, Pasand

Arthur’s, Katie’s Cafe, Pedro’s, La Galleria

Birk’s, Truya Sushi, Valley Plaza

Lakeside, Mariani’s

A Simple Random Sample

Pick a simple random sample of 15 restaurants.

Describe your procedure.

Complete the table with your sample.

1. __________

6. __________

11. __________

2. __________

7. __________

12. __________

3. __________

8. __________

13. __________

4. __________

9. __________

14. __________

5. __________

10. __________

15. __________

A Systematic Sample

Pick a systematic sample of 15 restaurants.

Describe your procedure.

Complete the table with your sample.

1. __________

6. __________

11. __________

2. __________

7. __________

12. __________

3. __________

8. __________

13. __________

4. __________

9. __________

14. __________

5. __________

10. __________

15. __________

A Stratified Sample

Pick a stratified sample, by city, of 20 restaurants. Use 25% of the restaurants from each stratum. Round to the nearest whole number.

Describe your procedure.

Complete the table with your sample.

1. __________

6. __________

11. __________

16. __________

2. __________

7. __________

12. __________

17. __________

3. __________

8. __________

13. __________

18. __________

4. __________

9. __________

14. __________

19. __________

5. __________

10. __________

15. __________

20. __________

A Stratified Sample

Pick a stratified sample, by entree cost, of 21 restaurants. Use 25% of the restaurants from each stratum. Round to the nearest whole number.

Describe your procedure.

Complete the table with your sample.

1. __________

6. __________

11. __________

16. __________

2. __________

7. __________

12. __________

17. __________

3. __________

8. __________

13. __________

18. __________

4. __________

9. __________

14. __________

19. __________

5. __________

10. __________

15. __________

20. __________

21. __________

A Cluster Sample

Pick a cluster sample of restaurants from two cities. The number of restaurants will vary.